This is a pretty solid first draft. Eagle Wardens Spirits is a tried and true strategy that honestly hasn't changed much since Immovable Object, Unstoppable Force came out. Once you have access to more of the card pool you can start upgrading some of the spells and deeds.

I would recommend cutting as many cards as you can that fail your spell pulls, and adding in more neutral influence dudes. You should also definitely cut Max Baine, he is going to cost you 7 upkeep and that just is not worth it.

Keeping in mind that you probably want this deck and the Law Dogs deck built at the same time, suggested cuts and adds:

You can’t go wrong with those spirits!
I’l advise you to try and strengthen your draw structure by filling out the 10s and Qs. Depending on what cards you have available that’s easier said than done.
You’ll also want to include some sort of cheating punishment. Maybe change A Coach Comes to Town and the low value cards so you also fail less pulls.

But the best advice is to play it and see what actions you smile at when drawn and which you’d hope was something else ;)

Could it be worth starting Mariel Lewis instead of Jackson Trouble? Only one more GR for extra influence and a great ability. Could then maybe shift out Butch Deuces for Henry Moran/Willa Mae MacGowan or Jake Smiley to still have the same (or higher!) starting ghost rock, as you already have two starting shaman dudes. Even squeezing in another starting dude can work well so that you get to five starters, which give you more ablative casualties and more pieces to use in movement chess matches.